Posted by SillyOldDuffer on 13/02/2021 10:53:53:
Running a motor slowly will reduce torque.
Oh dear, that's very disappointing, I thought SoD was smarter than that. He should go and stand in the corner and contemplate his misdemeanor!
In a simple model of an induction motor torque is proportional to current. As the frequency, and speed, decrease from base speed the VFD will decrease the applied voltage to keep the current constant. So the torque is essentially constant below base speed. For the purposes of this thread we'll take base speed as that when the motor is running from a 50Hz supply. As the motor speed drops the torque stays constant but the output power drops in proportion. Gear and pulley arrangements increase the torque in proportion to the speed reduction so the power stays constant.
Newer VFDs, that use vector control, can increase the current, and hence torque, below base speed. To some extent that ameliorates the drop in output power. But it is normally intended to counteract short term overload, not for continuous operation. The motor is being run beyond its design current and will quickly overheat, even with a fan running at normal speed.
I'd agree with the above that a larger VFD will have no problem running a lower power motor. The only real problem occurs when the VFD is capable of much more power than the motor needs. The internal current sensors will be sized according to the rated motor power. If a smaller motor is used naturally the currents will be lower and the sensor will be operating over a small part of it's range, leading to a loss of resolution. That may be a problem for the more complex control algorithms.
I'm not sure why a belt sander needs variable speed control?
Andrew